Test Slope of a Graph and Two Points

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

If the slope of a line is positive, what does that indicate about the direction of the line?

Back

A positive slope indicates that the line rises from left to right.

Front

If the slope of a line is negative, what does that indicate about the direction of the line?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the slope of the line that passes through the points (1, 2) and (4, 5)?

Back

The slope is 1, calculated as (5 - 2) / (4 - 1).

Front

What is the slope of the line that passes through the points (2, 3) and (2, 7)?

Back

The slope is undefined because the x-coordinates are the same, indicating a vertical line.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line.

Front

Calculate the slope of the line that passes through the points (0, 0) and (5, 10).

Back

The slope is 2, calculated as (10 - 0) / (5 - 0).

Front

What is the slope of the line that passes through the points (-1, -1) and (2, 2)?

Back

The slope is 1, calculated as (2 - (-1)) / (2 - (-1)).

Front

If a line has a slope of -3, what does this tell you about the change in y for a change in x?

Back

For every 1 unit increase in x, y decreases by 3 units.

Front

What is the slope of the line that passes through the points (3, 4) and (3, 1)?

Back

The slope is undefined because the x-coordinates are the same, indicating a vertical line.